Number of Coils given Deflection of Square Section Wire Spring Calculator

✖Deflection of Spring is how a spring responds when force is applied or released.ⓘ Deflection of Spring [δ]			+10% -10%
✖Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.ⓘ Modulus of Rigidity [G_Torsion]			+10% -10%
✖Diameter of Spring wire is the diameter of the wire from which a spring is made.ⓘ Diameter of Spring [d]			+10% -10%
✖The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.ⓘ Mean Radius [R]			+10% -10%
✖Spring Load is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Spring Load [W_load]			+10% -10%

✖Number of Coils in spring is the total number of turns made by wire along its length.ⓘ Number of Coils given Deflection of Square Section Wire Spring [N]

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Number of Coils given Deflection of Square Section Wire Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load)
N = (δ*G_Torsion*d^4)/(44.7*R^3*W_load)
This formula uses 6 Variables

Variables Used

Number of Coils - Number of Coils in spring is the total number of turns made by wire along its length.
Deflection of Spring - (Measured in Meter) - Deflection of Spring is how a spring responds when force is applied or released.
Modulus of Rigidity - (Measured in Pascal) - Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.
Diameter of Spring - (Measured in Meter) - Diameter of Spring wire is the diameter of the wire from which a spring is made.
Mean Radius - (Measured in Meter) - The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring.
Spring Load - (Measured in Newton) - Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

STEP 1: Convert Input(s) to Base Unit

Deflection of Spring: 3.4 Millimeter --> 0.0034 Meter (Check conversion here)
Modulus of Rigidity: 40 Gigapascal --> 40000000000 Pascal (Check conversion here)
Diameter of Spring: 45 Millimeter --> 0.045 Meter (Check conversion here)
Mean Radius: 225 Millimeter --> 0.225 Meter (Check conversion here)
Spring Load: 85 Newton --> 85 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (δ*G_Torsion*d^4)/(44.7*R^3*W_load) --> (0.0034*40000000000*0.045^4)/(44.7*0.225^3*85)

Evaluating ... ...

N = 12.8859060402685

STEP 3: Convert Result to Output's Unit

12.8859060402685 --> No Conversion Required

FINAL ANSWER

12.8859060402685 ≈ 12.88591 <-- Number of Coils

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Strength of Materials » Spring » Deflection in Spring » Spring of Square Section Wire » Number of Coils given Deflection of Square Section Wire Spring

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< Spring of Square Section Wire Calculators

Mean radius given Deflection of Square Section Wire Spring

LaTeX Go Mean Radius = ((Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Spring Load*Number of Coils))^(1/3)

Modulus of Rigidity using Deflection of Square Section Wire Spring

LaTeX Go Modulus of Rigidity = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Deflection of Spring*Diameter of Spring^4)

Load given Deflection of Square Section Wire Spring

LaTeX Go Spring Load = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Number of Coils)

Deflection of Square Section Wire Spring

LaTeX Go Deflection of Spring = (44.7*Spring Load*Mean Radius^3*Number of Coils)/(Modulus of Rigidity*Diameter of Spring^4)

Number of Coils given Deflection of Square Section Wire Spring Formula

LaTeX Go

Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load)
N = (δ*G_Torsion*d^4)/(44.7*R^3*W_load)

What is Spring?

A Spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs. A spring is an elastic object that stores mechanical energy. Springs are typically made of spring steel. There are many spring designs. In everyday use, the term often refers to coil springs.

How to Calculate Number of Coils given Deflection of Square Section Wire Spring?

Number of Coils given Deflection of Square Section Wire Spring calculator uses Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load) to calculate the Number of Coils, The Number of Coils given Deflection of Square Section Wire Spring formula is defined as the count of coiling of spring that is loaded. Number of Coils is denoted by N symbol.

How to calculate Number of Coils given Deflection of Square Section Wire Spring using this online calculator? To use this online calculator for Number of Coils given Deflection of Square Section Wire Spring, enter Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Spring Load (W_load) and hit the calculate button. Here is how the Number of Coils given Deflection of Square Section Wire Spring calculation can be explained with given input values -> 8.997584 = (0.0034*40000000000*0.045^4)/(44.7*0.225^3*85).

FAQ

What is Number of Coils given Deflection of Square Section Wire Spring?

The Number of Coils given Deflection of Square Section Wire Spring formula is defined as the count of coiling of spring that is loaded and is represented as N = (δ*G_Torsion*d^4)/(44.7*R^3*W_load) or Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load). Deflection of Spring is how a spring responds when force is applied or released, Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G, Diameter of Spring wire is the diameter of the wire from which a spring is made, The Mean Radius of spring coil is the average distance from the centerline of the spring wire to the axis of the spring & Spring Load is the instantaneous load applied perpendicular to the specimen cross section.

How to calculate Number of Coils given Deflection of Square Section Wire Spring?

The Number of Coils given Deflection of Square Section Wire Spring formula is defined as the count of coiling of spring that is loaded is calculated using Number of Coils = (Deflection of Spring*Modulus of Rigidity*Diameter of Spring^4)/(44.7*Mean Radius^3*Spring Load). To calculate Number of Coils given Deflection of Square Section Wire Spring, you need Deflection of Spring (δ), Modulus of Rigidity (G_Torsion), Diameter of Spring (d), Mean Radius (R) & Spring Load (W_load). With our tool, you need to enter the respective value for Deflection of Spring, Modulus of Rigidity, Diameter of Spring, Mean Radius & Spring Load and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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